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Exact and numerical solutions for the nanosoliton of ionic waves propagating through microtubules in living cells

Abstract

In this article, the Paul–Painleve approach (PPA) which was formulated recently and built on the balance role has been used perfectly to achieve new impressive solitary wave solutions to the nanosoliton of ionic waves (NSOIW) propagating along the microtubules in the living cells. In addition, variational iteration method (VIM) has been applied in the same vein and parallel to establish numerical solutions of this model.

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Correspondence to Ahmet Bekir.

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Bekir, A., Zahran, E.H.M. Exact and numerical solutions for the nanosoliton of ionic waves propagating through microtubules in living cells. Pramana - J Phys 95, 158 (2021). https://doi.org/10.1007/s12043-021-02177-y

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Keywords

  • Painleve approach
  • nanosoliton of ionic wave model
  • variational iteration method
  • travelling wave solutions
  • numerical solutions

PACS Nos

  • 02.60.Cb
  • 04.20.Jb
  • 05.45.Yv